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Finding the Fourth Proportional to 22,832.48, 31,500.14 and 16,878.44

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Solution

The fourth proportional to 22,832.48, 31,500.14 and 16,878.44 is: 23,285.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,832.48 : 31,500.14 = 16,878.44 : x
  2. Step 2: Convert to fraction form
    22,832.48/31,500.14 = 16,878.44/x
  3. Step 3: Cross multiply
    22,832.48x = 31,500.14 × 16,878.44
  4. Step 4: Simplify right side
    22,832.48x = 531,673,222.98
  5. Step 5: Solve for x
    x = 531,673,222.98/22,832.48
  6. Step 6: Final answer
    x = 23,285.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.